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Finding the Fourth Proportional to 38.62, 57.65 and 35.96

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Solution

The fourth proportional to 38.62, 57.65 and 35.96 is: 53.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 57.65 = 35.96 : x
  2. Step 2: Convert to fraction form
    38.62/57.65 = 35.96/x
  3. Step 3: Cross multiply
    38.62x = 57.65 × 35.96
  4. Step 4: Simplify right side
    38.62x = 2,072.72
  5. Step 5: Solve for x
    x = 2,072.72/38.62
  6. Step 6: Final answer
    x = 53.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.